Regression cannot be used to effectively model a nonlinear (e.g., U-shaped) relationship between an independent variable and the dependent variable.
The above statement is TRUE.
Regression cannot be used to effectively model a nonlinear (e.g., U-shaped) relationship between an independent variable and the dependent variable. We can use some other models to describe the non linear data.
Regression cannot be used to effectively model a nonlinear (e.g., U-shaped) relationship between an independent variable...
Based on the graph depicting the relationship between two variables above, you would conclude the variable 2 b variable 1 Independent variable: discrete/nominal, relationship best tested with univariate test (e.g. analysis of variance)n 1 independent variable: continuous; relationship best tested with bivariate test (e.g. linear regression) dependent variable: discrete/nominal; relationship best tested with contingency test (e.g. chi-square) dependent variable: continuous; relationship best tested with bivariate test (e.g. linear regression)
In the simple linear regression model, the ____________ accounts for the variability in the dependent variable that cannot be explained by the linear relationship between the variables. a. constant term b. residual c. model parameter d. error term
Based on the graph depicting the relationship between two variables, you would conclude the 10 variable 2 variable 1 A independent variable: discrete/nominal; relationship best tested with univariate test (e.g. analysis of variance) B. independent variable: continuous; relationship best tested with bivariate test (e.g. linear regression) O dependent variable: discrete/nominal relationship best tested with contingency test (eg, chi-square) D. dependent variable: continuous; relationship best tested with bivariate test (e.g. linear regression)
When the effect of a control variable is examined: a. the relationship between the independent and dependent variables may be stronger. b. the relationship between the independent and dependent variables may be weaker. c. the relationship between the independent and dependent variables may be unchanged. d. all of the above
Suppose that you believe that a quadratic relationship exists between the independent variable (of time) and the dependent variable Y. Which of the following would represent a valid linear regression model? Group of answer choices Y = b0 + b1 X, where X = time4 Y = b0 + b1 X2, where X = time Y = b0 + b1 X4, where X = time Y = b0 + b1 X, where X = time2
Consider the multiple regression model shown next between the dependent variable Y and four independent variables X1, X2, X3, and X4, which result in the following function: Y = 33 + 8X1 – 6X2 + 16X3 + 18X4 For this multiple regression model, there were 35 observations: SSR= 1,400 and SSE = 600. Assume a 0.01 significance level. What is the predictions for Y if: X1 = 1, X2 = 2, X3 = 3, X4 = 0
Regression analysis (also known as predictive analytics) attempts to establish: multicollinearity linearity in the relationship between independent variables multiobjectivity a mathematical relationship between a dependent variable, for which future values will be forecast, and one or more independent variables with known values linearity in the relationship between a dependent variable and a set of independent variables
QUESTION 1 If a t-test is performed in the context of a multiple regression model and the null hypothesis cannot be rejected, this means that A. the independent variable for which the test has been performed has a significant relationship with the dependent variable. B. the independent variable for which the test has been performed has no significant relationship with the dependent variable. C. all independent variables have a significant relationship with the dependent variable. D. no independent variable has...
If you perform a hypothesis test on the population slope Parameter (β1) in regression analysis and reject the Null hypothesis: Ho: β1= 0. Your conclusion would be: A.) The least squares sample regression equation should not be used because there is not sufficient evidence of a relationship between the independent variable and the dependent variable.. B.) The least squares sample regression equation should be used because there is sufficient evidence of a relationship between the independent variable and the dependent...
Regression and Multicollinearity When multiple independent variables are used to predict a dependent variable in multiple regression, multicollinearity among the independent variables is often a concern. What is the main problem caused by high multicollinearity among the independent variables in a multiple regression equation? Can you still achieve a high r for your regression equation if multicollinearity is present in your data? Regression and Multicollinearity When multiple independent variables are used to predict a dependent variable in multiple regression, multicollinearity...